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Finding the Fourth Proportional to 2,686.16, 3,706.76 and 1,491.01

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Solution

The fourth proportional to 2,686.16, 3,706.76 and 1,491.01 is: 2,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.16 : 3,706.76 = 1,491.01 : x
  2. Step 2: Convert to fraction form
    2,686.16/3,706.76 = 1,491.01/x
  3. Step 3: Cross multiply
    2,686.16x = 3,706.76 × 1,491.01
  4. Step 4: Simplify right side
    2,686.16x = 5,526,810.69
  5. Step 5: Solve for x
    x = 5,526,810.69/2,686.16
  6. Step 6: Final answer
    x = 2,057.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.